4 citations · 14 across the 18 of their papers we have counts for
4 papers · 1 filter
Weak convergence of robust functions on topological groups
Victor Ayala, Adriano Da Silva, Heriberto Roman-Flores
In this paper we introduce a weak version of level and epigraph convergence for level functions on topological spaces. In the particular case of topological groups we are able to d…
Jordan decomposition and the recurrent set of flows of automorphisms
Victor Ayala, Adriano Da Silva, Philippe Jouan
In this paper we show that any linear vector field on a connected Lie group admits a Jordan decomposition and the recurrent set of the associated ow of automorphi…
On the structural properties of the bounded control set of a linear control system
Victor Ayala, Adriano Da Silva
The present paper shows that the bounded control set of a linear system on a connected Lie group contains all the bounded orbits of the system. As a consequence, its closure is…
Central periodic points of linear systems
Victor Ayala, Adriano Da Silva
In this paper, we introduce the concept of central periodic points of a linear system as points which lies on orbits starting and ending at the central subgroup of the system. We s…